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Simplifying 5z + -8 + 3z + 12 + 4z + -2 = 180 Reorder the terms: -8 + 12 + -2 + 5z + 3z + 4z = 180 Combine like terms: -8 + 12 = 4 4 + -2 + 5z + 3z + 4z = 180 Combine like terms: 4 + -2 = 2 2 + 5z + 3z + 4z = 180 Combine like terms: 5z + 3z = 8z 2 + 8z + 4z = 180 Combine like terms: 8z + 4z = 12z 2 + 12z = 180 Solving 2 + 12z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12z = 180 + -2 Combine like terms: 2 + -2 = 0 0 + 12z = 180 + -2 12z = 180 + -2 Combine like terms: 180 + -2 = 178 12z = 178 Divide each side by '12'. z = 14.83333333 Simplifying z = 14.83333333
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